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Finding the Third Proportional to 206,466 and 319,087

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Solution

The third proportional to 206,466 and 319,087 is: 493,139.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,466 : 319,087 = 319,087 : x
  2. Step 2: Convert to fraction form
    206,466/319,087 = 319,087/x
  3. Step 3: Cross multiply
    206,466x = 319,087 × 319,087
  4. Step 4: Simplify right side
    206,466x = 101,816,513,569
  5. Step 5: Solve for x
    x = 101,816,513,569/206,466
  6. Step 6: Final answer
    x = 493,139.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.